6533b825fe1ef96bd12820c3
RESEARCH PRODUCT
Spinor algebras
V. S. VaradarajanSergio FerraraM. A. LledoR. D'auriasubject
High Energy Physics - TheoryPhysicsPure mathematicsSpin groupSpinorSpace timeFOS: Physical sciencesGeneral Physics and AstronomyConformal mapSupersymmetrysymbols.namesakeHigh Energy Physics - Theory (hep-th)Dimension (vector space)Poincaré conjecturesymbolsÀlgebraGeometry and TopologySignature (topology)Particle Physics - TheoryMathematical Physicsdescription
We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar\'e and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra naturally associated to the spin group. This algebra, the Spin$(s,t)$-algebra, depends both on the dimension and on the signature of space time. We also consider maximal super conformal algebras, which are classified by the orthosymplectic algebras.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-10-16 | Journal of Geometry and Physics |